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Finding the Fourth Proportional to 1,421.84, 2,132.33 and 600.09

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Solution

The fourth proportional to 1,421.84, 2,132.33 and 600.09 is: 899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.84 : 2,132.33 = 600.09 : x
  2. Step 2: Convert to fraction form
    1,421.84/2,132.33 = 600.09/x
  3. Step 3: Cross multiply
    1,421.84x = 2,132.33 × 600.09
  4. Step 4: Simplify right side
    1,421.84x = 1,279,586.91
  5. Step 5: Solve for x
    x = 1,279,586.91/1,421.84
  6. Step 6: Final answer
    x = 899.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.